## On the number of periodic reflecting rays in generic domains.(English)Zbl 0668.58005

Authors’ abstract: We prove that for generic domains $$\Omega \subset {\mathbb{R}}^ n$$ with smooth boundary X for every integer $$s\geq 2$$ there is at most a finite number of periodic reflecting rays with just s reflections on X.
Reviewer: J.Mihut

### MSC:

 58A99 General theory of differentiable manifolds
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### References:

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